Multilevel RBF collocation method for the fourth-order thin plate problem

DOI10.1142/S0219691320500794zbMath1468.65210OpenAlexW3097031132MaRDI QIDQ5010096

Qiuyan Xu, Lanling Ding, Zhi-yong Liu

Publication date: 24 August 2021

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691320500794

zbMATH Keywords

collocation methodradial basis functionsKansa methodfourth-order thin plate problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Plates (74K20) Numerical radial basis function approximation (65D12)

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The kernel regularized learning algorithm for solving Laplace equation with Dirichlet boundary ⋮ Meshfree methods for the variable-order fractional advection-diffusion equation

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Cites Work

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• Multiscale RBF collocation for solving PDEs on spheres
• Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains
• Meshless local B-spline collocation method for heterogeneous heat conduction problems
• Winkler plate bending problems by a truly boundary-only boundary particle method
• Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels
• Multilevel compact radial functions based computational schemes for some elliptic problems
• Local multilevel scattered data interpolation
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Multistep scattered data interpolation using compactly supported radial basis functions
• Zooming from global to local: a multiscale RBF approach
• Cascadic meshfree method for the elliptic Monge-Ampère equation
• A meshless method for Kirchhoff plate bending problems
• RBF Multiscale Collocation for Second Order Elliptic Boundary Value Problems
• Fractional-Wavelet Analysis of Positive definite Distributions and Wavelets on $$\varvec{\mathscr {D'}}(\mathbb {C})$$ D ′ ( C )
• Multiscale methods with compactly supported radial basis functions for Galerkin approximation of elliptic PDEs
• A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems

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